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基于黎曼二阶最小化的投影图像配准算法
Alternative TitleProjective image registration based on Riemannian second-order minimization
李广伟; 刘云鹏; 尹健; 史泽林
Department光电信息研究室
Source Publication仪器仪表学报
ISSN0254-3087
2010
Volume31Issue:6Pages:1323-1329
Indexed ByEI ; CSCD
EI Accession number20103013093947
CSCD IDCSCD:3889111
Contribution Rank1
Keyword黎曼流形 图像配准 射影变换 几何优化 李群
Abstract根据嘉当分解定理得到非紧致李群SL(3,R)上的最短测地线方程,从而得到黎曼指数映射,在内蕴几何优化算法框架下,提出了一种基于黎曼流形二阶最小化的投影图像配准算法。由于考虑了投影变换参数的几何结构,所以与基于向量空间的高斯-牛顿配准算法相比,这种配准算法的综合性能有较大的提高;由于利用图像配准的具体特点,避免了赫森矩阵的烦琐计算,同时参数寻优沿测地线方向,所以与基于李群上的高斯-牛顿算法相比,这种配准算法对目标投影变形也有更好的适应性。从理论和实验两个层面综合分析了所提算法的有效性和优越性。
Other Abstractoptimal transformation is obtained from the minimal geodesic equation based on Cartan decomposition theorem.A second-order minimization projective registration algorithm based on the Riemannian manifold within the intrinsic geometric optimization framework is proposed.Compared with the Gauss-Newton registration algorithm based on vector space,the general performance of our proposed algorithm shows much more improvement because...
Language中文
Citation statistics
Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/7129
Collection光电信息技术研究室
Corresponding Author李广伟
Affiliation1.中国科学院沈阳自动化研究所
2.青岛大学管理科学与工程系
3.中国科学院研究生院
4.空军装备研究院总体所
Recommended Citation
GB/T 7714
李广伟,刘云鹏,尹健,等. 基于黎曼二阶最小化的投影图像配准算法[J]. 仪器仪表学报,2010,31(6):1323-1329.
APA 李广伟,刘云鹏,尹健,&史泽林.(2010).基于黎曼二阶最小化的投影图像配准算法.仪器仪表学报,31(6),1323-1329.
MLA 李广伟,et al."基于黎曼二阶最小化的投影图像配准算法".仪器仪表学报 31.6(2010):1323-1329.
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